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19926 = 23541
BaseRepresentation
bin100110111010110
31000100000
410313112
51114201
6232130
7112044
oct46726
930300
1019926
1113a75
12b646
1390ba
147394
155d86
hex4dd6

19926 has 24 divisors (see below), whose sum is σ = 45864. Its totient is φ = 6480.

The previous prime is 19919. The next prime is 19927. The reversal of 19926 is 62991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 19926.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 19926.

It is not an unprimeable number, because it can be changed into a prime (19927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466 + ... + 506.

It is an arithmetic number, because the mean of its divisors is an integer number (1911).

219926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22932).

19926 is an abundant number, since it is smaller than the sum of its proper divisors (25938).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19926 is an equidigital number, since it uses as much as digits as its factorization.

19926 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 46 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 19926 is about 141.1594842722. The cubic root of 19926 is about 27.1106569743.

It can be divided in two parts, 199 and 26, that added together give a square (225 = 152).

The spelling of 19926 in words is "nineteen thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 369 486 738 1107 2214 3321 6642 9963 19926